# Transpose

## Matrix operation which flips a matrix over its diagonal / From Wikipedia, the free encyclopedia

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In linear algebra, the **transpose** of a matrix is an operator which flips a matrix over its diagonal;
that is, it switches the row and column indices of the matrix **A** by producing another matrix, often denoted by **A**^{T} (among other notations).[1]

Matrix operation which flips a matrix over its diagonal

The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley.[2] In the case of a logical matrix representing a binary relation R, the transpose corresponds to the converse relation R^{T}.

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